// Numbas version: exam_results_page_options
{"name": "Index Numbers", "feedback": {"showtotalmark": true, "advicethreshold": 0, "showanswerstate": true, "showactualmark": true, "allowrevealanswer": true}, "timing": {"allowPause": true, "timeout": {"action": "none", "message": ""}, "timedwarning": {"action": "none", "message": ""}}, "allQuestions": true, "shuffleQuestions": false, "percentPass": 0, "duration": 0, "pickQuestions": 0, "navigation": {"onleave": {"action": "none", "message": ""}, "reverse": true, "allowregen": true, "showresultspage": "oncompletion", "preventleave": true, "browse": true, "showfrontpage": true}, "metadata": {"description": "<p>Fixed base. Chain base. Laspeyres Price and Quantity. Paache Price and Quantity. Interpretation.&nbsp;</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "exam", "questions": [], "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": [{"name": "Fixed Base Index", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}], "functions": {}, "ungrouped_variables": ["a", "c", "b", "d", "g", "f"], "tags": ["cr1", "data analysis", "fitted value", "rebelmaths", "regression", "residual value", "sc", "statistics"], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p>For the years 2008 to 2013 calculate a fixed base index for the rent&nbsp;using 2008 as the base year. (round answers to nearest whole number)</p>\n<table height=\"91\" border=\"1\" width=\"573\">\n<tbody>\n<tr><th align=\"left\">Year</th><th>2008</th><th>2009</th><th>2010</th><th>2011</th><th>2012</th><th>2013</th></tr>\n<tr><th align=\"left\">\n<p>Rent</p>\n<p>Index Number</p>\n</th>\n<td>[[0]]</td>\n<td>[[1]]</td>\n<td>[[2]]</td>\n<td>&nbsp;[[3]]</td>\n<td>[[4]]</td>\n<td>[[5]]</td>\n</tr>\n</tbody>\n</table>\n<p>&nbsp;Click on Show steps if you want more information. You will not lose any marks by doing so.</p>\n<p>&nbsp;</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>To calculate the index number for a particular year use the following formula</p>\n<p>$\\frac{\\text{Value for the year}}{\\text{Value for the base year}}\\times 100$</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{a}/{a}*100", "minValue": "{a}/{a}*100", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{b}/{a}*100", "strictPrecision": true, "minValue": "{b}/{a}*100", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": 0, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{c}/{a}*100", "strictPrecision": true, "minValue": "{c}/{a}*100", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": 0, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{d}/{a}*100", "strictPrecision": true, "minValue": "{d}/{a}*100", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": 0, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{f}/{a}*100", "strictPrecision": true, "minValue": "{f}/{a}*100", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": 0, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{g}/{a}*100", "strictPrecision": true, "minValue": "{g}/{a}*100", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": 0, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>The table below shows the&nbsp;average weekly rent for residents of a town.</p>\n<table height=\"91\" border=\"1\" width=\"573\">\n<tbody>\n<tr><th align=\"left\">Year</th><th>2008</th><th>2009</th><th>2010</th><th>2011</th><th>2012</th><th>2013</th></tr>\n<tr><th align=\"left\">Rent &euro;</th>\n<td>{a}</td>\n<td>{b}</td>\n<td>{c}</td>\n<td>&nbsp;{d}</td>\n<td>{f}</td>\n<td>{g}</td>\n</tr>\n</tbody>\n</table>\n<p>&nbsp;</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "Random(485..550)", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "c": {"definition": "Random(500..600)", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": ""}, "b": {"definition": "Random(500..600)", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}, "d": {"definition": "Random(550..600)", "templateType": "anything", "group": "Ungrouped variables", "name": "d", "description": ""}, "g": {"definition": "Random(600..650)", "templateType": "anything", "group": "Ungrouped variables", "name": "g", "description": ""}, "f": {"definition": "Random(600..650)", "templateType": "anything", "group": "Ungrouped variables", "name": "f", "description": ""}}, "metadata": {"description": "<p>Fixed Base Index Numbers</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Chain Base Index", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}], "functions": {}, "ungrouped_variables": ["a", "c", "b", "d", "g", "f", "thing"], "tags": ["cr1", "data analysis", "fitted value", "rebelmaths", "regression", "residual value", "sc", "statistics"], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p>For the years 2008 to 2013 calculate a chain base index for the {thing[0]}. (round answers to nearest whole number)</p>\n<table border=\"1\" height=\"91\" width=\"573\">\n<tbody>\n<tr><th align=\"left\">Year</th><th>2008</th><th>2009</th><th>2010</th><th>2011</th><th>2012</th><th>2013</th></tr>\n<tr><th align=\"left\">\n<p>The {thing[0]}</p>\n<p>Index Number</p>\n</th>\n<td style=\"text-align: center;\">-</td>\n<td>[[0]]</td>\n<td>[[1]]</td>\n<td>&nbsp;[[2]]</td>\n<td>[[3]]</td>\n<td>[[4]]</td>\n</tr>\n</tbody>\n</table>\n<p>&nbsp;Click on Show steps if you want more information. You will not lose any marks by doing so.</p>\n<p>&nbsp;</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>To calculate the index number for a particular year use the following formula</p>\n<p>$\\frac{\\text{Value for the year}}{\\text{Value for the previous year}}\\times 100$</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{b}/{a}*100", "strictPrecision": true, "minValue": "{b}/{a}*100", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{c}/{b}*100", "strictPrecision": true, "minValue": "{c}/{b}*100", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{d}/{c}*100", "strictPrecision": true, "minValue": "{d}/{c}*100", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{f}/{d}*100", "strictPrecision": true, "minValue": "{f}/{d}*100", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{g}/{f}*100", "strictPrecision": true, "minValue": "{g}/{f}*100", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>The table below shows the frequency distribution for {thing[0]}.</p>\n<table border=\"1\" height=\"91\" width=\"573\">\n<tbody>\n<tr><th align=\"left\">Year</th><th>2008</th><th>2009</th><th>2010</th><th>2011</th><th>2012</th><th>2013</th></tr>\n<tr><th align=\"left\">{thing[0]}</th>\n<td>{a}</td>\n<td>{b}</td>\n<td>{c}</td>\n<td>&nbsp;{d}</td>\n<td>{f}</td>\n<td>{g}</td>\n</tr>\n</tbody>\n</table>\n<p>&nbsp;</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "Random(485..550)", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "c": {"definition": "Random(500..600)", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": ""}, "b": {"definition": "Random(500..600)", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}, "d": {"definition": "Random(550..600)", "templateType": "anything", "group": "Ungrouped variables", "name": "d", "description": ""}, "g": {"definition": "Random(600..650)", "templateType": "anything", "group": "Ungrouped variables", "name": "g", "description": ""}, "f": {"definition": "Random(600..650)", "templateType": "anything", "group": "Ungrouped variables", "name": "f", "description": ""}, "thing": {"definition": "random(['average monthly rent ', 'for residents of a town'],['average weekly salary','for employees of a company'])", "templateType": "anything", "group": "Ungrouped variables", "name": "thing", "description": ""}}, "metadata": {"description": "<p>Chain Base Index Numbers</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Laspeyres Price Index", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}], "functions": {}, "ungrouped_variables": ["qc3", "pa1", "pa2", "pa3", "pb1", "qa3", "pb3", "pb2", "pc2", "pc3", "qa2", "qb2", "qc2", "qb1", "qb3", "pc1", "qa1", "type", "qc1"], "tags": ["cr1", "data analysis", "fitted value", "rebelmaths", "regression", "residual value", "sc", "statistics"], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p></p>\n<p>&nbsp;Calculate a Laspeyres Price index for 2011, with 2010 as the base year. </p>\n<p></p>", "allowFractions": false, "variableReplacements": [], "maxValue": "{({{pa2}*{qa1}}+{{pb2}*{qb1}}+{{pc2}*{qc1}})/({{pa1}*{qa1}}+{{pb1}*{qb1}}+{{pc1}*{qc1}})*100}+0.5", "minValue": "{({{pa2}*{qa1}}+{{pb2}*{qb1}}+{{pc2}*{qc1}})/({{pa1}*{qa1}}+{{pb1}*{qb1}}+{{pc1}*{qc1}})*100}-0.5", "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Laspeyres Price Index $I=\\frac{\\sum p_n q_0}{\\sum p_0 q_0}$.</p>\n<p>Note</p>\n<p>- p stands for price and q stands for quantity</p>\n<p>- the subscipt 0 refers to the base year and the subscript n refers to the year that the index number is being calculated for.</p>\n<p>- $\\sum$ stands for sum of&nbsp;</p>\n<p>It may be helpful to make out columns</p>\n<table height=\"139\" border=\"1\" width=\"567\">\n<tbody>\n<tr><th align=\"left\">Type</th><th>$p_n$</th><th>$q_0$</th><th>$p_0$</th><th>$p_n \\times q_0)$</th><th>$p_0 &nbsp; \\times &nbsp; q_0$</th></tr>\n<tr><th align=\"left\"></th>\n<td>price for n year</td>\n<td>quantity for base year</td>\n<td>price for base year</td>\n<td></td>\n<td></td>\n</tr>\n<tr><th align=\"left\"></th>\n<td></td>\n<td></td>\n<td></td>\n<td></td>\n<td></td>\n</tr>\n<tr><th align=\"left\"></th>\n<td></td>\n<td></td>\n<td></td>\n<td></td>\n<td></td>\n</tr>\n<tr><th align=\"left\"></th>\n<td></td>\n<td></td>\n<td></td>\n<td></td>\n<td></td>\n</tr>\n</tbody>\n</table>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 10, "type": "numberentry", "showPrecisionHint": false}], "statement": "<p>A company manufactures three types of {type[3]}. The table below shows the prices and quantities sold of the three types of {type[3]} over the three year period 2010-2012. &nbsp;</p>\n<table height=\"139\" border=\"1\" width=\"567\">\n<tbody>\n<tr><th align=\"left\"></th><th>Price</th><th>Price</th><th>Price</th><th>Quantity</th><th>Quantity</th><th>Quantity</th></tr>\n<tr><th align=\"left\"></th>\n<td>2010</td>\n<td>2011</td>\n<td>2012</td>\n<td>2010</td>\n<td>2011</td>\n<td>2012</td>\n</tr>\n<tr><th align=\"left\">{type[0]}</th>\n<td>{pa1}</td>\n<td>{pa2}</td>\n<td>{pa3}</td>\n<td>{qa1}</td>\n<td>{qa2}</td>\n<td>{qa3}</td>\n</tr>\n<tr><th align=\"left\">{type[1]}</th>\n<td>{pb1}</td>\n<td>{pb2}</td>\n<td>{pb3}</td>\n<td>{qb1}</td>\n<td>{qb2}</td>\n<td>{qb3}</td>\n</tr>\n<tr><th align=\"left\">{type[2]}</th>\n<td>{pc1}</td>\n<td>{pc2}</td>\n<td>{pc3}</td>\n<td>{qc1}</td>\n<td>{qc2}</td>\n<td>{qc3}</td>\n</tr>\n</tbody>\n</table>\n<p>&nbsp;</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"qc3": {"definition": "Random(600..700)", "templateType": "anything", "group": "Ungrouped variables", "name": "qc3", "description": ""}, "pa1": {"definition": "Random(6..9#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "pa1", "description": ""}, "pa2": {"definition": "Random(6..9#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "pa2", "description": ""}, "pa3": {"definition": "Random(6..9#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "pa3", "description": ""}, "pb1": {"definition": "Random(11..14#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "pb1", "description": ""}, "pb3": {"definition": "Random(11..14#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "pb3", "description": ""}, "qa3": {"definition": "Random(200..400)", "templateType": "anything", "group": "Ungrouped variables", "name": "qa3", "description": ""}, "pb2": {"definition": "Random(11..14#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "pb2", "description": ""}, "pc2": {"definition": "Random(17..20#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "pc2", "description": ""}, "pc3": {"definition": "Random(17..20#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "pc3", "description": ""}, "qa2": {"definition": "Random(200..400)", "templateType": "anything", "group": "Ungrouped variables", "name": "qa2", "description": ""}, "qb2": {"definition": "Random(500..600)", "templateType": "anything", "group": "Ungrouped variables", "name": "qb2", "description": ""}, "qc2": {"definition": "Random(600..650)", "templateType": "anything", "group": "Ungrouped variables", "name": "qc2", "description": ""}, "qb1": {"definition": "Random(500..600)", "templateType": "anything", "group": "Ungrouped variables", "name": "qb1", "description": ""}, "qb3": {"definition": "Random(500..600)", "templateType": "anything", "group": "Ungrouped variables", "name": "qb3", "description": ""}, "pc1": {"definition": "Random(17..20#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "pc1", "description": ""}, "qa1": {"definition": "Random(200..400)", "templateType": "anything", "group": "Ungrouped variables", "name": "qa1", "description": ""}, "type": {"definition": "random(['2GB ', '8GB','16GB', 'USB keys'],['small','medium', 'large', 'graffiti  t-shirts'],['bronze', 'silver','gold', 'medals'])", "templateType": "anything", "group": "Ungrouped variables", "name": "type", "description": ""}, "qc1": {"definition": "Random(600..650)", "templateType": "anything", "group": "Ungrouped variables", "name": "qc1", "description": ""}}, "metadata": {"description": "<p>Laspeyres Price Index</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Paache Quantity Index", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}], "functions": {}, "ungrouped_variables": ["qc3", "pa1", "pa2", "pa3", "pb1", "qa3", "pb3", "pb2", "pc2", "pc3", "qa2", "qb2", "qc2", "qb1", "qb3", "pc1", "qa1", "type", "qc1"], "tags": ["cr1", "data analysis", "fitted value", "rebelmaths", "regression", "residual value", "sc", "statistics"], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p></p>\n<p>&nbsp;Calculate a Paache Quantity index for 2012, with 2010 as the base year.</p>\n<p></p>", "allowFractions": false, "variableReplacements": [], "maxValue": "{({{qa3}*{pa3}}+{{qb3}*{pb3}}+{{qc3}*{pc3}})/({{qa1}*{pa3}}+{{qb1}*{pb3}}+{{qc1}*{pc3}})*100}+0.5", "minValue": "{({{qa3}*{pa3}}+{{qb3}*{pb3}}+{{qc3}*{pc3}})/({{qa1}*{pa3}}+{{qb1}*{pb3}}+{{qc1}*{pc3}})*100}-0.5", "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Paasche Price Index $I=\\frac{\\sum q_n p_n}{\\sum q_0 p_n}$.</p>\n<p>Note</p>\n<p>- p stands for price and q stands for quantity</p>\n<p>- the subscipt 0 refers to the base year and the subscript n refers to the year that the index number is being calculated for.</p>\n<p>- $\\sum$ stands for sum of&nbsp;</p>\n<p>It may be helpful to make out columns</p>\n<table height=\"139\" border=\"1\" width=\"567\">\n<tbody>\n<tr><th align=\"left\">Type</th><th>$p_n$</th><th>$q_0$</th><th>$p_0$</th><th>$p_n \\times q_0$</th><th>$p_0 &nbsp; \\times &nbsp; q_0$</th></tr>\n<tr><th align=\"left\"></th>\n<td>price for n year</td>\n<td>quantity for base year</td>\n<td>price for base year</td>\n<td></td>\n<td></td>\n</tr>\n<tr><th align=\"left\"></th>\n<td></td>\n<td></td>\n<td></td>\n<td></td>\n<td></td>\n</tr>\n<tr><th align=\"left\"></th>\n<td></td>\n<td></td>\n<td></td>\n<td></td>\n<td></td>\n</tr>\n<tr><th align=\"left\"></th>\n<td></td>\n<td></td>\n<td></td>\n<td></td>\n<td></td>\n</tr>\n</tbody>\n</table>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 10, "type": "numberentry"}], "statement": "<p>A company manufactures three types of {type[3]}. The table below shows the prices and quantities sold of the three types of {type[3]} over the three year period 2010-2012. &nbsp;</p>\n<table height=\"139\" border=\"1\" width=\"567\">\n<tbody>\n<tr><th align=\"left\"></th><th>Price</th><th>Price</th><th>Price</th><th>Quantity</th><th>Quantity</th><th>Quantity</th></tr>\n<tr><th align=\"left\"></th>\n<td>2010</td>\n<td>2011</td>\n<td>2012</td>\n<td>2010</td>\n<td>2011</td>\n<td>2012</td>\n</tr>\n<tr><th align=\"left\">{type[0]}</th>\n<td>{pa1}</td>\n<td>{pa2}</td>\n<td>{pa3}</td>\n<td>{qa1}</td>\n<td>{qa2}</td>\n<td>{qa3}</td>\n</tr>\n<tr><th align=\"left\">{type[1]}</th>\n<td>{pb1}</td>\n<td>{pb2}</td>\n<td>{pb3}</td>\n<td>{qb1}</td>\n<td>{qb2}</td>\n<td>{qb3}</td>\n</tr>\n<tr><th align=\"left\">{type[2]}</th>\n<td>{pc1}</td>\n<td>{pc2}</td>\n<td>{pc3}</td>\n<td>{qc1}</td>\n<td>{qc2}</td>\n<td>{qc3}</td>\n</tr>\n</tbody>\n</table>\n<p>&nbsp;</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"qc3": {"definition": "Random(600..700)", "templateType": "anything", "group": "Ungrouped variables", "name": "qc3", "description": ""}, "pa1": {"definition": "Random(6..9#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "pa1", "description": ""}, "pa2": {"definition": "Random(6..9#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "pa2", "description": ""}, "pa3": {"definition": "Random(6..9#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "pa3", "description": ""}, "pb1": {"definition": "Random(11..14#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "pb1", "description": ""}, "qa3": {"definition": "Random(200..400)", "templateType": "anything", "group": "Ungrouped variables", "name": "qa3", "description": ""}, "pb3": {"definition": "Random(11..14#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "pb3", "description": ""}, "pb2": {"definition": "Random(11..14#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "pb2", "description": ""}, "pc2": {"definition": "Random(17..20#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "pc2", "description": ""}, "pc3": {"definition": "Random(17..20#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "pc3", "description": ""}, "qa2": {"definition": "Random(200..400)", "templateType": "anything", "group": "Ungrouped variables", "name": "qa2", "description": ""}, "qb2": {"definition": "Random(500..600)", "templateType": "anything", "group": "Ungrouped variables", "name": "qb2", "description": ""}, "qc2": {"definition": "Random(600..650)", "templateType": "anything", "group": "Ungrouped variables", "name": "qc2", "description": ""}, "qb1": {"definition": "Random(500..600)", "templateType": "anything", "group": "Ungrouped variables", "name": "qb1", "description": ""}, "qb3": {"definition": "Random(500..600)", "templateType": "anything", "group": "Ungrouped variables", "name": "qb3", "description": ""}, "pc1": {"definition": "Random(17..20#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "pc1", "description": ""}, "qa1": {"definition": "Random(200..400)", "templateType": "anything", "group": "Ungrouped variables", "name": "qa1", "description": ""}, "type": {"definition": "random(['2GB ', '8GB','16GB', 'USB keys'],['small','medium', 'large', 'graffiti  t-shirts'],['bronze', 'silver','gold', 'medals'])", "templateType": "anything", "group": "Ungrouped variables", "name": "type", "description": ""}, "qc1": {"definition": "Random(600..650)", "templateType": "anything", "group": "Ungrouped variables", "name": "qc1", "description": ""}}, "metadata": {"description": "<p>Laspeyres Price Index</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}]}], "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}], "extensions": ["stats"], "custom_part_types": [], "resources": []}